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We consider a control constrained optimal control problem
governed by a semilinear
elliptic equation with nonlocal interface conditions.
These conditions occur during the
modeling of diffuse-gray conductive-radiative heat transfer.
After stating first-order necessary conditions, second-order
sufficient conditions are derived that account for strongly active sets.
These conditions ensure local optimality in an
Ls-neighborhood of a reference function
whereby the underlying analysis allows...
In this paper sufficient optimality conditions are established for optimal control of both steady-state and instationary Navier-Stokes equations. The second-order condition requires coercivity of the Lagrange function on a suitable subspace together with first-order necessary conditions. It ensures local optimality of a reference function in a -neighborhood, whereby the underlying analysis allows to use weaker norms than .
In this paper sufficient optimality conditions are established for optimal control of
both steady-state and instationary Navier-Stokes equations. The second-order condition requires
coercivity of the Lagrange function on a suitable subspace together with first-order necessary
conditions. It ensures local optimality of a reference function in a Ls-neighborhood,
whereby the underlying analysis allows to use weaker norms than L∞.
Optimal shape design problem for a deformable body in contact with a rigid foundation is studied. The body is made from material obeying a nonlinear Hooke’s law. We study the existence of an optimal shape as well as its approximation with the finite element method. Practical realization with nonlinear programming is discussed. A numerical example is included.
A current procedure that takes into account the Dirichlet boundary condition with non-smooth data is to change it into a Robin type condition by introducing a penalization term; a major effect of this procedure is an easy implementation of the boundary condition. In this work, we deal with an optimal control problem where the control variable is the Dirichlet data. We describe the Robin penalization, and we bound the gap between the penalized and the non-penalized boundary controls for the small...
A current procedure that takes into account the Dirichlet boundary condition
with non-smooth data is to change it into a
Robin type condition by introducing a penalization term; a major effect of this
procedure is an easy implementation of the boundary condition.
In this work, we deal with an optimal control problem where
the control variable is the Dirichlet data.
We describe the Robin penalization,
and we bound the gap between the penalized and the non-penalized boundary controls
for the small...
In this paper we present some applications of the J.-L. Lions’ optimal control theory to real life problems in engineering and environmental sciences. More precisely, we deal with the following three problems: sterilization of canned foods, optimal management of waste-water treatment plants and noise control
In this paper we present some applications of the J.-L. Lions' optimal control theory to real life
problems in engineering and environmental sciences. More precisely, we deal with the following three problems: sterilization
of canned foods, optimal management of waste-water treatment plants and noise control
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